100010102021010 has 128 divisors (see below), whose sum is σ = 273351386880000. Its totient is φ = 26005653326016.

The previous prime is 100010102020991. The next prime is 100010102021033. The reversal of 100010102021010 is 10120201010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010102020983 and 100010102021001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236040 + ... + 14144819.

It is an arithmetic number, because the mean of its divisors is an integer number (2135557710000).

Almost surely, 2^{100010102021010} is an apocalyptic number.

100010102021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010102021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136675693440000).

100010102021010 is an abundant number, since it is smaller than the sum of its proper divisors (173341284858990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100010102021010 is a wasteful number, since it uses less digits than its factorization.

100010102021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14381517 (or 14381511 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100010102021010 its reverse (10120201010001), we get a palindrome (110130303031011).

The spelling of 100010102021010 in words is "one hundred trillion, ten billion, one hundred two million, twenty-one thousand, ten".